Given the inventory system with the following estimated costs: ordering cost A = $ 30 per order, unit cost v = 4.75 $ per unit, annual interest rate r = 15% Question 1: (30pts) The production manager assumes the demand is constant at an average rate of 200 units per month and 1 year has 12 months a. Find the optimal order quantity applying the basic EOQ and the associated total cost (10pts) (Assumed that total cost includes ordering cost, holding cost and purchasing cost) b. Assume that the quantity discount is offered by the supplier. For each level of discount, the discount percentage with respect to the initial price are given as follows: (20pts) Order quantity (units) Discount percentage Discount price (S) 1-499 4.75 500 - 999 5% 1000 - 1499 15% 1500 20% Complete the quantity discount table and find the optimal order quantity for given the discount policy